Question

what is the equation of the line that passes through the point (7, -4) and has an undefined slope?

Explanation:

Step1: Recall undefined slope lines

A line with an undefined slope is a vertical line. The equation of a vertical line is of the form \(x = a\), where \(a\) is the x - coordinate of any point on the line.

Step2: Determine the value of \(a\)

The line passes through the point \((7,-4)\). For a vertical line passing through this point, the x - coordinate is 7. So the equation of the line is \(x = 7\).

Answer:

\(x = 7\)